Question
Find the prime factorization of number 73872.
Answer
The prime factorization of 73872 is:
$$ 73872 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot19 $$Which is the same as :
$$ 73872 = 2^{4}\cdot3^{5}\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 73872 can be written as 2 × 36936. |
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| 36936 can be written as 2 × 18468. |
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| 18468 can be written as 2 × 9234. |
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| 9234 can be written as 2 × 4617. |
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| 4617 can be written as 3 × 1539. |
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| 1539 can be written as 3 × 513. |
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| 513 can be written as 3 × 171. |
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| 171 can be written as 3 × 57. |
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| 57 can be written as 3 × 19. |
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| The end nodes are the prime factors of the number 73872. |
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